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On point-transitive affine planes

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Publication:1838709
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DOI10.1007/BF02802724zbMath0511.51011MaRDI QIDQ1838709

William M. Kantor

Publication date: 1982

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

translation planespreadtriangular matricescollineation grouplinear translation complementBetten-Walker planeslikeable maplikeable plane


Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite affine and projective planes (geometric aspects) (51E15) Other matrix groups over fields (20H20) Non-Desarguesian affine and projective planes (51A35)


Related Items (8)

On translation planes with a 2-transitive orbit on the line at infinity ⋮ On translation planes of order \(q^ 3\) that admit a collineation group of order \(q^ 3\) ⋮ The derivation of dual translation planes ⋮ Some unusual translation planes of order 64 ⋮ HMO-planes ⋮ A characterization of likeable translation planes ⋮ On likeable translation planes of even order ⋮ Likeable functions in finite fields



Cites Work

  • A class of translation planes
  • The dual Lüneburg planes
  • Ovoids and Translation Planes
  • On Planes of Lenz-Barlotti Class II-1
  • Semi-Translation Planes
  • Unnamed Item


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